Boundary conditions allow to determine constants involved in the equation. They are basically the same thing as initial conditions in Newton's mechanics (actually they are initial conditions).

IPO is the abbreviation for Initial public offering. Different companies will allow the community to become involved with their company in this manner, however one would want to invest wisely and seek investments which will allow them to profit and not have a loss.

Lincoln's initial stance when the South began to secede was to not fire on Fort Sumter. He was trying to stay out of it and allow the upper south to convince the lower south to not secede.

it depends on the context

initial (as your initials) - Initial

initial (as in first) - erste/erster/erstes

what is initial correspondence